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212137721704 = 23172939775449
BaseRepresentation
bin1100010110010001100…
…1001011111101101000
3202021120020112211111201
43011210121023331220
511433424224043304
6241242115333544
721216653611516
oct3054431137550
9667506484451
10212137721704
1181a70239167
12351445b12b4
1317009b7401c
14a3a610d4b6
1557b8d4b3a4
hex316464bf68

212137721704 has 64 divisors (see below), whose sum is σ = 423103338000. Its totient is φ = 99368730624.

The previous prime is 212137721701. The next prime is 212137721707. The reversal of 212137721704 is 407127731212.

212137721704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212137721701) and next prime (212137721707).

It can be written as a sum of positive squares in 8 ways, for example, as 190272184804 + 21865536900 = 436202^2 + 147870^2 .

It is not an unprimeable number, because it can be changed into a prime (212137721701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38928772 + ... + 38934220.

Almost surely, 2212137721704 is an apocalyptic number.

It is an amenable number.

212137721704 is a deficient number, since it is larger than the sum of its proper divisors (210965616296).

212137721704 is a wasteful number, since it uses less digits than its factorization.

212137721704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The spelling of 212137721704 in words is "two hundred twelve billion, one hundred thirty-seven million, seven hundred twenty-one thousand, seven hundred four".

Divisors: 1 2 4 8 17 34 68 136 293 586 977 1172 1954 2344 3908 4981 5449 7816 9962 10898 16609 19924 21796 33218 39848 43592 66436 92633 132872 185266 286261 370532 572522 741064 1145044 1596557 2290088 3193114 4866437 5323673 6386228 9732874 10647346 12772456 19465748 21294692 27141469 38931496 42589384 54282938 90502441 108565876 181004882 217131752 362009764 724019528 1559836189 3119672378 6239344756 12478689512 26517215213 53034430426 106068860852 212137721704